Ratio and Proportions

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

A proportion is an equation that states that two ratios are equal.

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio.

The result is ad = bc.

The first step is to cross-multiply the terms.

x = 6.

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

To simplify a ratio, divide both terms by their greatest common divisor.

An equivalent ratio is a ratio that expresses the same relationship between quantities, even if the numbers are different.